Final answer:
To express 1/9 as a repeating decimal, divide 1 by 9 and the quotient would keep repeating the digit 1.
Step-by-step explanation:
To express the fraction 1/9 as a repeating decimal, divide 1 by 9:
- First, write 1 as a decimal by adding a decimal point to the right of the digit: 1.0
- Then, long divide 1.0 by 9:
0.11111 ________ 9 | 1.00000 - 9 _____ 10 - 9 ___ 10 ...
The quotient, 0.11111, would keep repeating the digit 1. Therefore, 1/9 expressed as a repeating decimal is 0.111...
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